# Univalent σ-harmonic mappings: applications to composites

Giovanni Alessandrini; Vincenzo Nesi

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 7, page 379-406
- ISSN: 1292-8119

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topAlessandrini, Giovanni, and Nesi, Vincenzo. "Univalent σ-harmonic mappings: applications to composites." ESAIM: Control, Optimisation and Calculus of Variations 7 (2010): 379-406. <http://eudml.org/doc/90627>.

@article{Alessandrini2010,

abstract = {
This paper is part of a larger project initiated with [2]. The
final aim of the present paper is to give bounds for the homogenized (or
effective) conductivity in two dimensional linear conductivity. The main focus is
therefore the periodic setting. We prove new variational principles that
are shown to be of interest in finding bounds on the homogenized
conductivity. Our results unify previous approaches by the second author and make
transparent the central role of quasiconformal mappings in all the two dimensional
G-closure problems in conductivity.
},

author = {Alessandrini, Giovanni, Nesi, Vincenzo},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Effective properties; harmonic mappings; composite materials; quasiregular
mappings.; effective properties; quasiregular mappings; two-dimensional linear conductivity},

language = {eng},

month = {3},

pages = {379-406},

publisher = {EDP Sciences},

title = {Univalent σ-harmonic mappings: applications to composites},

url = {http://eudml.org/doc/90627},

volume = {7},

year = {2010},

}

TY - JOUR

AU - Alessandrini, Giovanni

AU - Nesi, Vincenzo

TI - Univalent σ-harmonic mappings: applications to composites

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 7

SP - 379

EP - 406

AB -
This paper is part of a larger project initiated with [2]. The
final aim of the present paper is to give bounds for the homogenized (or
effective) conductivity in two dimensional linear conductivity. The main focus is
therefore the periodic setting. We prove new variational principles that
are shown to be of interest in finding bounds on the homogenized
conductivity. Our results unify previous approaches by the second author and make
transparent the central role of quasiconformal mappings in all the two dimensional
G-closure problems in conductivity.

LA - eng

KW - Effective properties; harmonic mappings; composite materials; quasiregular
mappings.; effective properties; quasiregular mappings; two-dimensional linear conductivity

UR - http://eudml.org/doc/90627

ER -

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